Transformations Practice

Front

What are transformations in geometry?

Back

Transformations are operations that alter the position, size, or shape of a figure. They include translations, reflections, and rotations.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

How do you perform a 90-degree clockwise rotation on a point (x, y)?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Front

What are the coordinates of point B' after rotating point B(-5, -8) 90 degrees clockwise?

Back

The coordinates of B' are (-8, 5).

Front

What happens to the coordinates of a point after a reflection over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

What are the coordinates of A' after reflecting A(-3, 5) over the y-axis?

Back

The coordinates of A' are (3, 5).

Front

What is the result of rotating triangle ABC with vertices A(-3, 5), B(2, 5), and C(0, 9) 90 degrees clockwise?

Back

The new coordinates of A' after rotation are (5, 3).

Front

What is the difference between congruent figures and transformations?

Back

Congruent figures are identical in shape and size, while transformations change the position or orientation of a figure without altering its size or shape.